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Algebra 1 3-3 Complete Lesson: Solving Inequalities Using Multiplication or Division

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Last updated about 4 years ago
21 questions
Note from the author:
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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
Question 1
1.

Question 2
2.

Question 3
3.

Solve It! Consider the previous item. What happens to the inequality symbol when you multiply each side of an expression by a positive number? A negative number? Justify your reasoning.

Question 4
4.

Question 5
5.

Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Question 6
6.

Question 7
7.

Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Question 8
8.

10
Question 9
9.

Problem 3 Got It? Reasoning: In Problem 3, why do you round to the greater whole number?

A.CED.1
A.REI.3
N.Q.2
Question 10
10.

Question 11
11.

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

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Question 13
13.

Question 14
14.

Error Analysis: Describe and correct the error in the solution.

Question 15
15.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Question 16
16.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Question 17
17.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Question 18
18.

Question 19
19.

Question 20
20.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Question 21
21.

Reflection: Math Success

Solve It! Drag the appropriate inequality sign to fill in each blank.
<
>
(4)(3) ___ (1)(3)
(4)(2) ___ (1)(2)
(4)(1) ___ (1)(1)
Solve It! Drag the appropriate inequality sign to fill in each blank.
<
>
(4)(-1) ___ (1)(-1)
(4)(-2) ___ (1)(-2)
(4)(-3) ___ (1)(-3)
Problem 1 Got It? What are the solutions of the inequality?
4 < c
c < 1
c > 1/32
c > 2
Problem 2 Got It? What are the solutions of the inequality?
n < -4
n > -36
n > -4
36 < n
Problem 3 Got It? A student club plans to buy food for a soup kitchen. A case of vegetables costs $10.68. The club can spend at most $50 for this project. What are the possible numbers of cases the club can buy? Categorize the number of cases.
1 case
2 cases
3 cases
4 cases
5 cases
6 cases
7 cases
The club can afford:
The club can not afford:
Problem 4 Got It? What are the solutions of the inequality?
x < 50
x > -2
x > 50
x < 2
Question 12
12.

Which operation would you use to solve each inequality on the right? Explain.
Addition; This inverse operation will isolate the variable in the inequality.
Subtraction; This inverse operation will isolate the variable in the inequality.
Multiplication; This inverse operation will isolate the variable in the inequality.
Division; This inverse operation will isolate the variable in the inequality.
Vocabulary Review: Drag the inequalities into the Inequality category.
5 + x < 6
7 - y ≥ 2
a + b = 12
m - 3 > 5
2 + 3 = 3 + 2
Inequality
Vocabulary Review: Match each inequality on the left with its equivalent inequality on the right.
Match each inequality with its graph.
x + 2 > -1
-x/3 < -1
x - 4 ≤ -1
-3x ≥ 9
Graph A
Graph B
Graph C
Graph D